Find the equation of the circle the end points of whose diameter are the centres of the circle : `x^2 + y^2 + 6x - 14y=1` and `x^2 + y^2 - 4x + 10y=2`.

Find the equation of the circle the end points of whose diameters are the centres of the circles x^2+y^2+16x-14y=1 and x^2+y^2-4x+10y=2

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

Find the angle between the circles x^2 + y^2 + 4x - 14y + 28 = 0 and x^2 + y^2 + 4x - 5 = 0

Find the centre and radius of the circle x^(2) + y^(2) + 6x -10y -2 =0

Find the equation of the circle whose centre is at the point (4,5) and which passes through the centre of the circle x^2+y^2-6x+4y-12=0.

Find the centre and radius of the circle x^(2) + y^(2) - 6x + 4y - 12 =0 .

Find the centre and radius of the circle 3x^2 + 3y^2 - 8x - 10y + 3=0

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0